Similar Triangles

A cell phone tower in a field casts a shadow of 100ft. At the same time, a 4 ft 6 in post near the tower casts a shadow of 3 ft 4 in. Find the height of the tower in feet. (Hint: make a drawing)

a. 145 ft
b. 76 ft
c. 100 ft
d. 135 ft

Please select the best answer from the choices provided

Answer:

50 feet

Step-by-step explanation:

Perimeter is the sum of all of the lengths of the sides.

A triangle has three sides, and three lengths are given, therefore all the sides are given.

The sum of the sides is 20 + 20 + 10 = 50

So the Perimeter is 50 feet

Answer:50

Step-by-step explanation:20+20+10=50

Answer:

0.0001815766

Step-by-step explanation:

The definition of negative exponent is  [tex]a^{-n}=\frac{1}{a^n}[/tex].  For 5.6 to the negative 5 power, write the reciprocal of 5.6 to the 5th.

[tex]5.6^{-5}=\frac{1}{5.6^5}[/tex]

A calculator can do the rest.  It can also find the decimal value directly.

Answer:

B. 14 ft

Step-by-step explanation:

I calculated it logically

Answer:

You need to have 538 people in your study.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.94}{2} = 0.03[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.03 = 0.97[/tex], so Z = 1.88.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

You practiced on the people at work and found a standard deviation of about 0.37 seconds.

This means that [tex]\sigma = 0.37[/tex]

You want to get a 94% confidence interval that is only 0.06 in width.

This means that [tex]M = \frac{0.06}{2} = 0.03[/tex]

How many people do you need to have in your study?

This is n for which M = 0.03. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.03 = 1.88\frac{0.37}{\sqrt{n}}[/tex]

[tex]0.03\sqrt{n} = 1.88*0.37[/tex]

[tex]\sqrt{n} = \frac{1.88*0.37}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.88*0.37}{0.03})^2[/tex]

[tex]n = 537.6[/tex]

Rounding up:

You need to have 538 people in your study.

Answer:

A) [tex]\sqrt{8x/3}[/tex]

Step-by-step explanation:

[tex]\sqrt{8x^{2} } /\sqrt{3x}[/tex]

[tex]\sqrt{8x^{2}/{3x}[/tex]

[tex]\sqrt{8x/3}[/tex]

Therefore, A is correct

Answer:

y = x + 5

Step-by-step explanation:

We need to find the inverse of the given relation . Firstly replace x with y and then solve for y to get the inverse . We have ,

=> y = x - 5

=> x = y - 5

=> y = x + 5

Answer:

The base of the rectangle is 21 mm.

Step-by-step explanation:

Given that a rectangle's area is 336 mm, and its height is 16 mm, to determine what is the measure of its base, the following calculation must be performed, knowing that the area of a rectangle arises from multiplying its base by its height:

16 x X = 336

X = 336/16

X = 21

Therefore, the base of the rectangle is 21 mm.

Answer:

The solution is 2000 + 0.0575*2000*10 = 3150 dollars at the end of 10 years.

Step-by-step explanation:

Answer:

C) 120,000

Step-by-step explanation:

Let's use fractions.

7800 = x

---------- -------- . 325 5000 What we are going to do is multiply 325 times x and 7800 times 5000 . 7800 times 5000 equals 39,000,000. 325 times x equals 325x. The reason why we put the info this way is because we are trying to find the profit for a certain number of products . If we were trying the number of products we would put 5000 on top and the x on the bottom of the fraction the n croos multiply but this is not the case.

39,000,000 = 325x

----------------- --------

325 325

Next, we are going to divide 325 on both sides to get x ( in this case x equals the answer) by itself.

39,000,000 /325 = 120,000

325x / 325 = x

x = 120,000

Answer:

it's

-21

or 12

which one you mean

Answer:

in life problem I solve in my head and not on paper. I enter life's problems calmly and carefully know I can solve them but in math I erase and cry and almost tear my paper apart. someone else can solve your math problem but not your life problem.

Answer:

Step-by-step explanation:

ax² + 7x + b

Substituting 2/3 in equation

4a/9 + 14/3 +b = 0

4a/3 + 14 + 3b = 0

4a + 42 + 9b = 0 ------> (i)

Substituting -3 in equation

9a - 21 + b = 0

81a - 189 + 9b = 0 ------> (ii)

Elimination method

a = 3

substituting in any equation

b = -6

Answer:

The right answer is "z = 3.68".

Step-by-step explanation:

Given that,

p = 52%

or,

  = 0.52

n = 200

[tex]\hat{p}= \frac{130}{200}[/tex]

  [tex]= 0.65[/tex]

Now

The test statistic will be:

⇒  [tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]

On substituting all the given values, we get

⇒     [tex]=\frac{0.65-0.52}{\sqrt{\frac{0.52(1-0.52)}{200} } }[/tex]

⇒      [tex]=\frac{0.13}\sqrt{{\frac{0.52\times 0.48}{200} }}[/tex]

⇒      [tex]=\frac{0.13}{\sqrt{0.001248} }[/tex]

⇒      [tex]=3.68[/tex]

Answer:

# of faces:7

# of edges: 15

# or vertices: 10

Answer:

7 10 15

Step-by-step explanation:

Answer: (2,8)

Step-by-step explanation:

The origin is the point (0,0), so when you move two units right you land on the x-value of 2. From there you then add 8 units, putting you at the y-value of 8. Therefore, you end with the point (2,8) after this translation.

Answer:

Experimental unit = Oat

Response variable = Oat yield

Factors : Oat varieties ; Manure Concentration

Level of factors :

Oat = 3 levels

Manure concentration = 4 levels

Step-by-step explanation:

The experimental unit in this scenario is Oat, as it is the material or entity which we wish to research or learn about.

The response variable is what we intend to measure about the experimental unit, which is the yield of oat.

Factors here are the varieties of oat and the concentration of Manure which are the entities responsible for changes in the output or behavior of the dependent variable.

Level of factors : the different varieties of the factor variable, we have three Oat levels and 4 different Manure concentration levels.

Answer:

P = 25 + (15)n

Total amount paid by David = $100

Step-by-step explanation:

Given:

Fixed cost of renting chain saw =  $25

Variable cost of renting chain saw =  $15 per hour

Time taken = 5 hour

Find;

Total amount paid by David

Computation:

Assume;

Total amount paid by David = P

Time taken = n

So,

P = 25 + (15)n

P = 25 + (15)(5)

P = 25 + 75

P = 100

Total amount paid by David = $100

Answer:

i think 648

Step-by-step explanation:

Area = Length times width

18 times 36 = 648

But It could be 3,240

18 times 36 times 5

Answer:

48 ounces.

Step-by-step explanation:

:) have a good rest of your day.

Answer:

yea I don't understand either kid, it's upside down.

Step-by-step explanation:

Answer:

x

Step-by-step explanation:

djdndjdjdndjdkdjdnfnfjfndndndn b7h

Answer:

Can't help you on an ASIT

Step-by-step explanation:

Answer:

V=196 cm cubed

Step-by-step explanation:

Formula: 1/3 Base * Height

Base = 7*7 = 49

49 * 12 = 588

588 * 1/3 = 196

There you go :)

F(-10) means the x value in the equation is -10.

Replace x with -10 and solve:

4(-10) -12 = -40 - 12 = -52

F(-10) = -52

Answer: -52

How to: Use the given functions to set up and simplify f ( − 10 ) .

Have a great day and stay safe ! sorry if im wrong

Answer:

(–5 , –4)

Step-by-step explanation:

when you rotate 180° whether clockwise or counterclockwise, the value of x and y will remain the same, but you need to change the + to – and – to +

Answer: